Right triangle abc is on a coordinate plane. segment ab is on the line y = 2 and is 5 units long. point c is on line x = -2. what is the value of point c if the area of triangle abc is 12.5 units squared?
a-5
b-6
c-7
d-8

The Option C shows the y-coordinate of the Point C: 7

The Point C is (-2,7)

Step-by-step explanation:

The area of a triangle can be calculated with this formula:

Where "b" is the base and "h" is the height.

We know that the segment AB, of 5 units long, is on the line , which is a horizontal line.

The point C is on the line , which is vertical.

Then we can say that:

Substituting the area and the lenght of the base into the formula and solving for "h", we get:

Then, the height (or the segment BC) of the triangle (Observe the figure attached) is 5 units long.

Therefore, the point C is: (-2,7)

And the y-coordinate of the point C is: 7

asdasd

step-by-step explanation:

just sum

10 + 10 = 20